Vol. 12, No. 4, 2019

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12
Issue 5, 721–899
Issue 4, 541–720
Issue 3, 361–539
Issue 2, 181–360
Issue 1, 1–180

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editors’ Interests
Scientific Advantages
Submission Guidelines
Submission Form
Ethics Statement
Editorial Login
Author Index
Coming Soon
Contacts
 
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Other MSP Journals
This article is available for purchase or by subscription. See below.
Irreducible character restrictions to maximal subgroups of low-rank classical groups of types $B$ and $C$

Kempton Albee, Mike Barnes, Aaron Parker, Eric Roon and A. A. Schaeffer Fry

Vol. 12 (2019), No. 4, 607–631
DOI: 10.2140/involve.2019.12.607
Abstract

Representations are special functions on groups that give us a way to study abstract groups using matrices, which are often easier to understand. In particular, we are often interested in irreducible representations, which can be thought of as the building blocks of all representations. Much of the information about these representations can then be understood by instead looking at the trace of the matrices, which we call the character of the representation. This paper will address restricting characters to subgroups by shrinking the domain of the original representation to just the subgroup. In particular, we will discuss the problem of determining when such restricted characters remain irreducible for certain low-rank classical groups.

PDF Access Denied

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/involve

We have not been able to recognize your IP address 54.174.51.80 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 30.00:

Keywords
irreducible characters, classical groups
Mathematical Subject Classification 2010
Primary: 20C15, 20C33
Milestones
Received: 12 February 2018
Revised: 11 October 2018
Accepted: 12 October 2018
Published: 16 April 2019

Communicated by Scott T. Chapman
Authors
Kempton Albee
Metropolitan State University of Denver
Denver, CO
United States
Mike Barnes
Metropolitan State University of Denver
Denver, CO
United States
Aaron Parker
Metropolitan State University of Denver
Denver, CO
United States
Eric Roon
University of Arizona
Tucson, AZ
United States
A. A. Schaeffer Fry
Department of Mathematical and Computer Sciences
Metropolitan State University of Denver
Denver, CO
United States